Live analysis

1,001,540

1,001,540 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,001,540 (one million one thousand five hundred forty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,077. Its proper divisors sum to 1,101,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4844.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,528 1,001,529 1,001,530 1,001,531 1,001,532 1,001,533 1,001,534 1,001,535 1,001,536 1,001,537 1,001,538 1,001,539 1,001,540 1,001,541 1,001,542 1,001,543 1,001,544 1,001,545 1,001,546 1,001,547 1,001,548 1,001,549 1,001,550 1,001,551 1,001,552

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 451,001
Square (n²): 1,003,082,371,600
Cube (n³): 1,004,627,118,452,264,000
Divisor count: 12
σ(n) — sum of divisors: 2,103,276
φ(n) — Euler's totient: 400,608
Sum of prime factors: 50,086

Primality

Prime factorization: 2 ² × 5 × 50077

Nearest primes: 1,001,531 (−9) · 1,001,549 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50077 · 100154 · 200308 · 250385 · 500770 (half) · 1001540

Aliquot sum (sum of proper divisors): 1,101,736

Factor pairs (a × b = 1,001,540)

1 × 1001540

2 × 500770

4 × 250385

5 × 200308

10 × 100154

20 × 50077

First multiples

1,001,540 · 2,003,080 (double) · 3,004,620 · 4,006,160 · 5,007,700 · 6,009,240 · 7,010,780 · 8,012,320 · 9,013,860 · 10,015,400

Sums & aliquot sequence

As a sum of two squares: 254² + 968² = 622² + 784²

As consecutive integers: 200,306 + 200,307 + 200,308 + 200,309 + 200,310 125,189 + 125,190 + … + 125,196 25,019 + 25,020 + … + 25,058

Aliquot sequence: 1,001,540 → 1,101,736 → 1,085,804 → 814,360 → 1,018,040 → 1,349,320 → 2,221,880 → 2,777,440 → 3,784,640 → 5,228,296 → 4,574,774 → 2,287,390 → 2,538,914 → 1,845,982 → 968,570 → 774,874 → 387,440 — unresolved within range

Continued fraction of √n

√1,001,540 = [1000; (1, 3, 2, 1, 11, 1, 4, 2, 9, 31, 5, 1, 16, 2, 2, 1, 1, 1, 3, 1, 4, 5, 1, 6, …)]

Representations

In words: one million one thousand five hundred forty
Ordinal: 1001540th
Binary: 11110100100001000100
Octal: 3644104
Hexadecimal: 0xF4844
Base64: D0hE
One's complement: 4,293,965,755 (32-bit)
Scientific notation: 1.00154 × 10⁶
As a duration: 1,001,540 s = 11 days, 14 hours, 12 minutes, 20 seconds

In other bases

ternary (3) 1212212212002

quaternary (4) 3310201010

quinary (5) 224022130

senary (6) 33244432

septenary (7) 11340641

nonary (9) 1785762

undecimal (11) 624521

duodecimal (12) 403718

tridecimal (13) 290b37

tetradecimal (14) 1c0dc8

pentadecimal (15) 14bb45

As an angle

1,001,540° = 2,782 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千五百四十
Chinese (financial): 壹佰萬壹仟伍佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٥٤٠ Devanagari १००१५४० Bengali ১০০১৫৪০ Tamil ௧௦௦௧௫௪௦ Thai ๑๐๐๑๕๔๐ Tibetan ༡༠༠༡༥༤༠ Khmer ១០០១៥៤០ Lao ໑໐໐໑໕໔໐ Burmese ၁၀၀၁၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001540, here are decompositions:

13 + 1001527 = 1001540
73 + 1001467 = 1001540
109 + 1001431 = 1001540
139 + 1001401 = 1001540
151 + 1001389 = 1001540
193 + 1001347 = 1001540
229 + 1001311 = 1001540
349 + 1001191 = 1001540

Showing the first eight; more decompositions exist.

Hex color

#0F4844

RGB(15, 72, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.68.

Address: 0.15.72.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.68

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,001,540 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,001,540 on Google Patents ↗ Look up on USPTO ↗